Relation Between Certain Quasi-Vortex Solutions and Solitons of the Sine-Gordon Equation and Other Nonlinear Equations
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It is shown that the quasi-vortex type solutions recently studied by Hudak ofthe sine-Gordon ectuation, *,.-l-nv>,=sin u, can be derived from the knownmultiple soliton solutions by the proper procedure. This shows in principle theexistence of the multiple quasi-vorte solutions. It also shows that the superposi-tion of usual solitons and quasi-vortex solutions are possible for this equation.Implication of the.present results to other soliton equations is briefly discussed.
- 社団法人日本物理学会の論文
- 1983-06-15
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